Lux Build/Playstyle Help
I've been maining Lux
mid, and if mid is taken support, for almost a year now, and its been my most successful champ/role. The last time I asked for advice on my build was when I first started playing, and since then I've made some changes, so i figured I'd get some more feedback on my mid build and strategy (and clarification on a few points).
I start with Dorans, and generally 1 health pot and 1 mana. Occasionally, if I have a really safe lane, I'll start 2 mana so I can be a bit more aggressive. I generally ward my jungler's other buff with a ward.
I like to build for Athene's first, even against an AD champ (I know morellonomicon is the meta, but I find myself running out of mana with that, and I never run out of mana with Athenes). First back I buy chalice (plus fiendish codex and/or boots if I'm ahead) then I rush athene's.
Next I go for Ionian boots, for the cooldown cap, and a 30 second ultimate cooldown. (I've got another 5% from masteries). I believe that Sorceror's is the meta, for cheap magic pen.
Next I go for Liandry's, as by this point I need magic pen. Void staff is meta, but I believe that Liandry's passive works with 2 of lux's abilities (q and e), making each do an additional 6% of a champion's max health over 3 seconds, which seems pretty useful, especially vs tanks.
After this, I go straight for Rabadon's.
For my final items, I had been going for Luden's, followed by Lich Bane (for some really good movement speed, solid ap, and useful passives). Now I'm thinking of switching in Void Staff and Rylai's (or maybe Zhonya's). Void for extra magic pen, Rylai's for extra slow (could help out in teamfight's) For my playstyle, I typically stay behind my team and act as artillery (fairly successfully) so I haven't found myself in need of Zhonya's, but I'm considering trying it out.
I don't go mejai's, I'm solo queue and if my team and I throw a fight in a close game, the hit I take could lead to a loss (I'd rather have fairly stable power than increased power and vulnerability).
I'm starting to consider buying morellonomicon when I see an enemy Soraka, limiting her heals might be worth running out of mana a few times.
I tend to go with summoners as recommended by this guide http://www.liquidlegends.net/forum/lol-strategy/475850-season-5-lux-the-lady-of-luminosity#matchups (I typically run flash/heal, as I keep a distance from enemies so ignite doesn't help much).
I'd appreciate any advice that anyone could provide very much, or any discussion that could lead to this build's improvement (or my playstyle's improvement). I know this post is an eyeful, and thanks very much to anyone that makes it this far.

.... ->

Then i go for
then the other one. Next a
(1 of these 3) and finish with a
and when i can after 9 into
. This is my build i use. Liandries only does "Current health" not Max Health and with the build i suggested if you don't die often you'll be carrying games decently hard. I also usually run flash barrier since barrrier and W do a lot of shielding.
(when the MR is useless),
as needed.